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Finding the Fourth Proportional to 411,863.25, 618,231.59 and 364,783.97

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Solution

The fourth proportional to 411,863.25, 618,231.59 and 364,783.97 is: 547,562.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,863.25 : 618,231.59 = 364,783.97 : x
  2. Step 2: Convert to fraction form
    411,863.25/618,231.59 = 364,783.97/x
  3. Step 3: Cross multiply
    411,863.25x = 618,231.59 × 364,783.97
  4. Step 4: Simplify right side
    411,863.25x = 225,520,968,864.54
  5. Step 5: Solve for x
    x = 225,520,968,864.54/411,863.25
  6. Step 6: Final answer
    x = 547,562.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.